505364015142 has 128 divisors (see below), whose sum is σ = 1306118661120. Its totient is φ = 141860367360.

The previous prime is 505364015131. The next prime is 505364015213. The reversal of 505364015142 is 241510463505.

505364015142 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 640 + 1 + 5 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 505364015097 and 505364015106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5634198 + ... + 5723190.

It is an arithmetic number, because the mean of its divisors is an integer number (10204052040).

Almost surely, 2^505364015142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505364015142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653059330560).

505364015142 is an abundant number, since it is smaller than the sum of its proper divisors (800754645978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505364015142 is a wasteful number, since it uses less digits than its factorization.

505364015142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89275 (or 89269 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 505364015142 its reverse (241510463505), we get a palindrome (746874478647).

The spelling of 505364015142 in words is "five hundred five billion, three hundred sixty-four million, fifteen thousand, one hundred forty-two".